Variable Structure Control of Partially Linearizable Dynamics

It is shown how the theory of decoupling and partial linearization of nonlinear affine systems can enhace the design of variable structure control systems for such systems. Refined insights into the design of nonlinear switching surfaces and a new regular form are obtained.

[1]  A. Isidori,et al.  Global feedback stabilization of nonlinear systems , 1985, 1985 24th IEEE Conference on Decision and Control.

[2]  C. Kravaris,et al.  Nonlinear State Feedback Synthesis by Global Input/Output Linearization , 1986, 1986 American Control Conference.

[3]  Vadim I. Utkin,et al.  A singular perturbation analysis of high-gain feedback systems , 1977 .

[4]  Yildirim Hurmuzlu,et al.  The role of impact in the stability of bipedal locomotion , 1986 .

[5]  J. Hedrick,et al.  Control of multivariable non-linear systems by the sliding mode method , 1987 .

[6]  A. Isidori,et al.  Nonlinear decoupling via feedback: A differential geometric approach , 1981 .

[7]  B. Charlet,et al.  Stability and robustness for nonlinear systems decoupled and linearized by feedback , 1987 .

[8]  Roger W. Brockett,et al.  Feedback Invariants for Nonlinear Systems , 1978 .

[9]  R. Hirschorn Invertibility of Nonlinear Control Systems , 1979 .

[10]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[11]  U. Itkis,et al.  Control systems of variable structure , 1976 .

[12]  L. Hunt,et al.  Global transformations of nonlinear systems , 1983 .

[13]  Neyram Hemati Modeling, analysis and tracking control of brushless dc motors for robotic applications , 1988 .

[14]  L. Bahar,et al.  Extension of Noether's theorem to constrained non-conservative dynamical systems , 1987 .

[15]  A. Krener On the Equivalence of Control Systems and the Linearization of Nonlinear Systems , 1973 .